Bielefeld: Universität Bielefeld.","apa":"Luthe, T. (2015).

Luthe, T. (2015). *Fully massive vacuum integrals at 5 loops*. Bielefeld: Universität Bielefeld.

","bio1":"Luthe T (2015) Bielefeld: Universität Bielefeld.","lncs":" Luthe, T.: Fully massive vacuum integrals at 5 loops. Universität Bielefeld, Bielefeld (2015).","angewandte-chemie":"T. Luthe,

Luthe, Thomas. 2015. *Fully massive vacuum integrals at 5 loops*. Bielefeld: Universität Bielefeld.

","frontiers":"Luthe, T. (2015). Fully massive vacuum integrals at 5 loops. Bielefeld: Universität Bielefeld.","ama":"Luthe T. Luthe, T. (2015). *Fully massive vacuum integrals at 5 loops*. Bielefeld: Universität Bielefeld.

","wels":"Luthe, T. (2015): Fully massive vacuum integrals at 5 loops. Bielefeld: Universität Bielefeld."},"status":"public","publisher":"Universität Bielefeld","email":"tluthe@physik.uni-bielefeld.de","place":"Bielefeld","file_date_updated":"2019-09-06T09:18:33Z","year":"2015","date_created":"2015-09-21T08:06:05Z","title":"Fully massive vacuum integrals at 5 loops","oa":1,"department":[{"_id":"10028"}],"ddc":["530"],"page":"140","abstract":[{"text":"Massive vacuum integrals with a single mass scale are a class of Feynman integrals that appear in many precision calculations within the Standard Model of particle physics and have been calculated to the 4-loop level. In this thesis I start pushing this limit to 5 loops by considering the subclass of fully massive vacuum integrals, which can be used to determine the β-function of Quantum Chromodynamics (QCD). To this end I employ a method devised by Laporta for the evaluation of multi-loop Feynman integrals based on difference equations and factorial series. Significant improvements to this method are introduced to account for the great increase in complexity when going from 4 to 5 loops. An implementation of the improved approach in C ++ is then used to obtain high-precision numerical results for the integrals needed for the 5-loop correction to the QCD β-function.","lang":"eng"}],"file":[{"relation":"main_file","checksum":"badaaa36fa4d9a8c38ee5bed4f246a23","date_created":"1970-01-01T00:00:00Z","file_id":"2776014","file_name":"Diss.pdf","date_updated":"2019-09-06T09:18:33Z","content_type":"application/pdf","access_level":"open_access"}],"has_accepted_license":"1","type":"bi_dissertation"}]